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seen Aug 15 at 10:53

Hey all-just a student trying to figure out what's going on. Don't be a stranger :D!


Apr
15
comment The definition of the quotient category in abelian category.
Hi, maybe a silly point, but in case anyone else reads this and is confused: I didn't understand how $A/(A' \cap A'')$ is a quotient of $A/A'$; however, it does fit in the SES $$0 \rightarrow A''/(A' \cap A'') \rightarrow A/(A' \cap A'') \rightarrow A/A'' \rightarrow 0$$where the left and right lie in $C$.
Apr
12
comment differential forms, stokes theorem in higher dimension
Glad to help - I also found differential forms challenging when learning (and relearning, and relearning...) them, and had the same experience re: few concrete calculations. Best wishes
Apr
11
comment measure space problem.
Hi, I've added some more details, let me know if you still have questions. You're welcome :)
Apr
11
revised measure space problem.
added 1065 characters in body
Apr
11
comment differential forms, stokes theorem in higher dimension
By the way, I should have been more careful about this earlier, but I don't see how $S$ comes with a preferred orientation, i.e. $\pm 12 \pi^2$ both look equally nice to me. I could be wrong though, perhaps ask someone in your class.
Apr
11
comment differential forms, stokes theorem in higher dimension
You're welcome, and you are absolutely correct - to integrate a differential form you need to consider 'orientation', and the swapping coordinates map $(r_1, r_2, \theta_1, \theta_2) \mapsto (r_1, \theta_1, r_2, \theta_2)$ has determinant -1, i.e. reverses orientation. Plainly, it's why you add a sign when swapping $dr_1 d\theta_1 dr_2 d\theta_2 = - 1 dr_1 dr_2 d\theta_1 d\theta_2$.
Apr
9
revised Show that unifomrly continuous function of half closed interval have limit.
added 469 characters in body
Apr
9
comment Show that unifomrly continuous function of half closed interval have limit.
no problem, edited accordingly
Apr
8
comment Surjection Vs Surjective geometric morphism
yeah i definitely don't...should i remove this answer?
Apr
8
answered Surjection Vs Surjective geometric morphism
Apr
8
answered Easy Riemann integral question
Apr
8
revised The number of edges this graph
added 22 characters in body
Apr
8
revised The number of edges this graph
added 22 characters in body
Apr
8
comment The number of edges this graph
hey i'm sorry about that - i deleted the definition when editing. updated!
Apr
8
comment Fixed points of the torus action on $\textrm{Hilb}_n(\mathbb C^2;d)$
Awesome - glad to help :)
Apr
8
answered The number of edges this graph
Apr
8
answered differential forms, stokes theorem in higher dimension
Apr
8
answered measure space problem.
Apr
8
answered Open quotient of second countable space is second countable
Apr
8
comment Fixed points of the torus action on $\textrm{Hilb}_n(\mathbb C^2;d)$
You are welcome. I meant character lattice, I added more explanation.